Work

Trial wave functions for a composite Fermi liquid on a torus

Year: 2018

Type: article

Abstract: Fractional quantum Hall effect fluids remain the prototype systems with topological order and strong interactions. They are usually well described as integer quantum Hall states of composite fermions, made of electrons and magnetic flux quanta. The authors investigate a two-dimensional electron gas in a magnetic field at half filling. This system should be described by a Fermi liquid of composite fermions in zero field and is uniquely suited to study the nature of composite fermions as, for instance, to determine if they are Dirac fermions. The composite Fermi liquid is indeed found to give an excellent approximation of the low-energy physics. It also shows unexpected features in the Berry curvature of the composite fermions.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.97.035149

Authors: M. Fremling, N. Moran, J. K. Slingerland, S. H. Simon

Institutions: National University of Ireland, Maynooth, Dublin Institute For Advanced Studies, University of Oxford

Language: English

Topic: Quantum and electron transport phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Science Foundation Ireland, Engineering and Physical Sciences Research Council

Awards: Quantum Matter in and out of Equilibrium, Topological Protection and Non-Equilibrium States in Strongly Correlated Electron Systems, G6410167375, Topological Order and Fault Tolerant Quantum Computation, G8865920134